Given numbers are 972,397,540,978

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 972,397,540,978 is 314495460.

Find LCM of 972,397,540,978 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 3 x 3 x 9 x 397 x 5 x 163 = 314495460

Therefore, the lowest common multiple of 972,397,540,978 is 314495460.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

972 x 397 x 540 x 978 = 203793058080

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

397 : 1, 397

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,397,540,978, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

397:397

540:2x 2x 3x 3x 3x 5

978:2x 3x 163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 203793058080/(1x648)

LCM = 203793058080/648

LCM = 314495460

Thus, we can understand that the LCM of 972,397,540,978 is 314495460.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 409, 651, 912, 326
• LCM of 550, 639, 296, 921
• LCM of 449, 952, 733, 200
• LCM of 113, 932, 805, 356
• LCM of 703, 624, 578, 570

1. What is the LCM of 972, 397, 540, 978?

Answer: LCM of 972, 397, 540, 978 is 314495460.

2. How to calculate the LCM of 972, 397, 540, 978?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 972, 397, 540, 978.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.